The 43-year-old reality star got a visit from his wife, Teresa Giudice, and their daughters Gia, 15, Gabriella, 11, Milania, 10, and Audriana, 6, at the Federal Correctional Institution in Fort Dix, New Jersey, ET can confirm.

"Everyone is adjusting well to the situation, even Joe," a source tells ET. "He is handling prison well and has a positive mindset."

The source also says that the couple's young children reacted particularly well to the visit, given that Teresa already served her own 11-month prison stint last year.

"It’s been a little easier this time around, especially for the girls," the source notes. "They knew what to expect. Is it still hard and sad? Of course it is. But they're doing the best they can."

Teresa, 43, said that her husband was doing "as well as expected" in prison in a vlog on Bravo's website late last month.

"Of course, we spoke to him," the Real Housewives of New Jersey star said, also thanking their fans. "All your love and support means the world to me and my family. It has been a difficult week for us, but we’re making it through, thank God."

Joe had a similarly positive outlook at his going-away party last month at the Blu Alehouse restaurant in Riverdale, New Jersey.

"Joe was laughing and happy for most of the night," a source told ET. "No speeches. It was a very light and fun night. Everyone was laughing and joking. It was very low-key, private and a lot of fun."

Joe opened up to ET's Jennifer Peros early last month prior to entering prison, when he called actually carrying out his sentence "the easy part."

"I think that's the easy part -- going to jail," Joe said. "I think it's what they put you through before you go. As you know, they try to mentally and physically break you down, you know what I mean? So that's I think the hardest part of everything. I think going to jail is the easy part."

Teresa also said that she'll make the hour and a half trip to see Joe at the federal correctional institute at least once a week, but their visits will be limited as conjugal visits are not permitted in New Jersey federal prisons.